5,724,512

2⁵ × 17² × 619

5,724,512 factors as 2^5 × 17^2 × 619. Its 36 positive divisors give a proper-divisor sum of 6,266,908, so this integer is abundant. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2^5 × 17^2 × 619

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,991,420

Proper Divisor Sum 6,266,908

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5724503 ← → #5724527

Radix Representation

Decimal	5724512
Binary	10101110101100101100000 (23 bits)
Octal	0o25654540
Hexadecimal	0x575960

Divisor Catalog (36)

1 2 4 8 16 17 32 34 68 136 272 289 544 578 619 1,156 1,238 2,312 2,476 4,624 4,952 9,248 9,904 10,523 19,808 21,046 42,092 84,184 168,368 178,891 336,736 357,782 715,564 1,431,128 2,862,256 5,724,512

Collatz Trajectory (245 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,724,512 2,862,256 1,431,128 715,564 357,782 178,891 536,674 268,337 805,012 402,506 201,253 603,760 301,880 150,940 75,470 37,735 113,206 56,603 169,810 84,905 254,716 127,358 63,679 191,038 95,519 286,558 143,279 429,838 214,919 644,758 322,379 967,138 483,569 1,450,708 725,354 362,677 1,088,032 544,016 272,008 136,004 68,002 34,001 102,004 51,002 25,501 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314

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